We would like to construct a 66% confidence interval for the proportion of voters that support building a new prison. What is the appropriat

Question

We would like to construct a 66% confidence interval for the proportion of voters that support building a new prison. What is the appropriate multiplier (z) that would be used in this situation?

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Quinn 1 month 2021-10-20T17:28:06+00:00 1 Answer 0 views 0

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    2021-10-20T17:29:32+00:00

    Answer:

    The appropriate z multiplier for 66% confidence interval is 0.95

    Step-by-step explanation:

    We are given the following in the question:

    Confidence interval:

    \hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

    We have to make a 66% confidence interval for the proportion of voters.

    Confidence level = 66%

    Significance level =

    \alpha = 1 - 0.66 = 0.34

    z_{critical}\text{ at}~\alpha_{0.34} = \pm 0.95

    Thus, the appropriate z multiplier for 66% confidence interval is 0.95

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